If a, b, and c are positive integers such that a2 + b2 = 82 and b2 + c2 = 65, then the value of 2a + 7b - 3c is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 1
Given that
a2 + b2 = 82 and b2 + c2 = 65
Put a = 9, b = 1, c = 8
this value satisfies the equations
then the value of 2a + 7b - 3c = 2 × 9 + 7 × 1 - 3 × 8 = 25 - 24 = 1